Answer:
35 is the length of BE
Step-by-step explanation:
2(2x + 5) = 8x - 50
4x + 10 = 8x -50
10+50 = 8x-4x
60= 4x
15 = x
2x + 5 = length of BE equal to length of DE
2(15) +5 = BE
30 +5
35 is the length of BE
Answer:
0.3101001000......
0.410100100010000....
Step-by-step explanation:
To find irrational number between any two numbers, we first need to understand what a rational and irrational number is.
Rational number is any number that can be expressed in fraction of form
. Since q can be 1, all numbers that terminate are rational numbers. Example: 1, 12.34, 123.66663
Irrational number on the other hand can't be expressed as a fraction and do not terminate. Also, there is no pattern in numbers i.e. there is no repetition in numbers after the decimal point.
For example: 3.44444..... can be expressed as rational number 3.45.
But 3.414114111.... is an irrational number as there no pattern observed. Also,it does not terminate.
We can find infinite number of irrational numbers in between two rational numbers.
<u>Irrational numbers in between 0.3 and 0.7:</u>
0.3101001000......
0.410100100010000....
0.51010010001.......
0.6101001000....
There are many others. We can choose any two as answers.
The range of a function is the set of all possible outputs.
When the quadratic functions are in standard form, they generally look like this:

If a is positive, the function opens up; if it’s negative, the function opens down. In this form, the y-coordinate of the vertex is found by evaluating f(−
). For example, consider this function:
f(x) = 
So we’re gonna do: −b/2a=−8/2(−2)=−8/−4=2
Then, we plug this in:

a is negative, so the range is all real numbers less than or equal to 5.
Learn more about range at
brainly.com/question/2264373
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The stock market increased 75 point: = +75 or 75
Answer:
Step-by-step explanation
Let's say d = distance, r = speed and t = time
We know the distance formula is :
distance = speed x time
d = r multiplied by t
d = rt
If the speed is 15km/hr, the time would be 30 minutes shorter.
Since d = rt,
90 = 15t
t = 6,
This means the time taken for the bus to complete the journey at 15km/hr would be 6hrs.
Originally though, the journey takes 30 minutes longer.
So we can say t = 6.5 hrs , and we know d = 90
Now we use the distance formula:
d = rt, since we want to find the original speed, we want to find r.
Speed = distance/time
r = d/t
r = 90/6.5
r = 180/13
Therefore the original speed is 180/13 km/hr